Results 41 to 50 of about 1,884 (116)

Nonuniform Dichotomy Spectrum and Normal Forms for Nonautonomous Differential Systems [PDF]

open access: yes, 2014
The aim of this paper is to study the normal forms of nonautonomous differential systems. For doing so, we first investigate the nonuniform dichotomy spectrum of the linear evolution operators that admit a nonuniform exponential dichotomy, where the ...
Zhang, Xiang
core  

Topological sequence entropy of nonautonomous dynamical systems

open access: yesJournal of Differential Equations
Let $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ be a sequence of continuous self-maps on a compact metric space $X$. Firstly, we obtain the relations between topological sequence entropy of a nonautonomous dynamical system $(X,f_{0,\infty})$ and that of its finite-to-one extension.
openaire   +2 more sources

The Ellis semigroup of a nonautonomous discrete dynamical system

open access: yes, 2016
We introduce the {\it Ellis semigroup} of a nonautonomous discrete dynamical system $(X,f_{1,\infty})$ when $X$ is a metric compact space. The underlying set of this semigroup is the pointwise closure of $\{f\sp{n}_1 \, |\, n\in \mathbb{N}\}$ in the ...
GarcĂ­a-Ferreira, S., Sanchis, M.
core  

Chaotic dynamics in the Volterra predator-prey model via linked twist maps [PDF]

open access: yes, 2008
We prove the existence of infinitely many periodic solutions and complicated dynamics, due to the presence of a topological horseshoe, for the classical Volterra predator--prey model with a periodic harvesting.
Pireddu, Marina, Zanolin, Fabio
core   +1 more source

Variational principle for packing topological pressure of nonautonomous dynamical systems

open access: yes
We investigate the relationship between various topological pressures and the corresponding measure-theoretic pressures for nonautonomous dynamical systems based on the Carathéodory-Pesin structure. We prove a pressure distribution principle for Pesin topological pressure and a Billingsley type theorem for packing topological pressure. We then obtain a
openaire   +2 more sources

Constructing Turing complete Euler flows in dimension 3. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Cardona R   +3 more
europepmc   +1 more source

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